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Finding the Fourth Proportional to 242,238.16, 363,342.28 and 90,405.68

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Solution

The fourth proportional to 242,238.16, 363,342.28 and 90,405.68 is: 135,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238.16 : 363,342.28 = 90,405.68 : x
  2. Step 2: Convert to fraction form
    242,238.16/363,342.28 = 90,405.68/x
  3. Step 3: Cross multiply
    242,238.16x = 363,342.28 × 90,405.68
  4. Step 4: Simplify right side
    242,238.16x = 32,848,205,896.15
  5. Step 5: Solve for x
    x = 32,848,205,896.15/242,238.16
  6. Step 6: Final answer
    x = 135,602.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.